curve of fixed degree and genus in any projective space can be passed. … This phenomenon was already observed for space curves in [9] in relation to semistability. We begin by describing which vector bundles on a rational curve satisfy interpolation in terms of the Birkhoff–Grothendieck classification. …
In this paper, we determine the number of general points through which a Brill–Noether curve of fixed degree and genus in any projective space can be passed.